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Finding the Fourth Proportional to 378,411.66, 566,458.38 and 245,026.53

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Solution

The fourth proportional to 378,411.66, 566,458.38 and 245,026.53 is: 366,789.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,411.66 : 566,458.38 = 245,026.53 : x
  2. Step 2: Convert to fraction form
    378,411.66/566,458.38 = 245,026.53/x
  3. Step 3: Cross multiply
    378,411.66x = 566,458.38 × 245,026.53
  4. Step 4: Simplify right side
    378,411.66x = 138,797,331,240.82
  5. Step 5: Solve for x
    x = 138,797,331,240.82/378,411.66
  6. Step 6: Final answer
    x = 366,789.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.